Bootstrapped Morawetz Estimates And Resonant Decomposition For Low Regularity Global Solutions Of Cubic NLS On R^{2}

Details Bootstrapped Morawetz Estimates And Resonant Decomposition For Low Regularity Global Solutions Of Cubic NLS On R^{2} Bootstrapped Morawetz Estimates And Resonant Decomposition For Low Regularity Global Solutions Of Cubic NLS On R^{2}

2008-11-12

arxiv.org/abs/0811.1803v1

Mathematics

Analysis of PDEs

16 pages

Scientific paper

We prove global well-posedness for the L^{2}-critical cubic defocusing
nonlinear Schr\"odinger equation on R^{2} with data u_{0} \in H^{s}(R^{2}) for
s > {1/3}.

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